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A gentle introduction to Drinfel'd associators

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arxiv 2304.07012 v2 pith:FQCA34UK submitted 2023-04-14 math.QA

Martin Bordemann , Andrea Rivezzi , Thomas Weigel This is my paper · ORCID
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In this note we give an introduction to Drinfel'd's associator coming from the Knizhnik-Zamolodchikov connections and a self-contained proof of the hexagon and pentagon equations by means of minimal amounts of analysis or differential geometry: we rather use limits of concrete parallel transports.

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  1. Syllepses from 3-shifted Poisson structures and second-order integration of infinitesimal 2-braidings

    math.QA 2025-05 conditional novelty 7.0 of 10

    A coherent totally symmetric strict infinitesimal 2-braiding gives a second-order deformation quantization to a braided monoidal cochain 2-category, and 3-shifted Poisson structures induce syllepses.

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